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We are given the complex number: z = 9 – 4i We are to find its reciprocal , i.e., 1 / z To find the reciprocal of a complex number, multiply numerator and denominator by the conjugate of the denominator: 1 / (9 – 4i) × (9 + 4i) / (9 + 4i) = (9 + 4i) / [(9 – 4i)(9 + 4i)] = (9 + 4i) / (9² + 4²) = (9 + 4i) / (81 + 16) = (9 + 4i) / 97 So: 1 / z = 9/97 + 4i/97
In a certain code of language, ‘+’ represents ‘x’, ‘-‘ represents ‘+’, ‘x’ represents ‘÷’ and ‘÷’ represents ‘-‘ what ...
Select the correct combination of mathematical signs to replace the * signs and balance the given equation.
5 * 15 * 320 * 2 * 45 = 190
Select the correct combination of mathematical signs that can sequentially replace '*' sign and balance the equation given below.
86 * (38 * ...
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
48 * 495 * 5 * 2 * 120 = 126
If % means +, @ means -, # means × and $ means ÷, then what is the value of : 26 % 40 @ 56 $ 7 # 2
If '+' means '-', '×' means '+', '-' means '÷', and '÷' means '×', then what is the value of the following expression?
75 ÷ 5 + 312 × 18 - ...
Which one of the given mathematical operations will result in 291?
If ‘@’ means (+), ‘#’ means (-), ‘%’ means (×), and ‘&’ means (÷), then what is the value of the expression:
24 @ 20 & 2 % 3 # ...
If '+' means '-', ' X ' means '+', '-' means '÷' and '÷' means ' X ', then what is the value of the following expression?
480 - 12 + 250 X 3...
Which signs should be interchanged to make the given equation correct.
51 ÷ 3 + 17 x 14 - 2 = 6
